Dynamics Of Stochastic Partial Differential Equations With Dynamical Boundary Conditions
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Dynamics Of Stochastic Partial Differential Equations With Dynamical Boundary Conditions
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Author : Peter Brune
language : en
Publisher:
Release Date : 2012
Dynamics Of Stochastic Partial Differential Equations With Dynamical Boundary Conditions written by Peter Brune and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Effective Dynamics Of Stochastic Partial Differential Equations
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Author : Jinqiao Duan
language : en
Publisher: Elsevier
Release Date : 2014-03-06
Effective Dynamics Of Stochastic Partial Differential Equations written by Jinqiao Duan and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-06 with Mathematics categories.
Effective Dynamics of Stochastic Partial Differential Equations focuses on stochastic partial differential equations with slow and fast time scales, or large and small spatial scales. The authors have developed basic techniques, such as averaging, slow manifolds, and homogenization, to extract effective dynamics from these stochastic partial differential equations. The authors' experience both as researchers and teachers enable them to convert current research on extracting effective dynamics of stochastic partial differential equations into concise and comprehensive chapters. The book helps readers by providing an accessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equations. Each chapter also includes exercises and problems to enhance comprehension. - New techniques for extracting effective dynamics of infinite dimensional dynamical systems under uncertainty - Accessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equations - Solutions or hints to all Exercises
Shape Optimization Homogenization And Optimal Control
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Author : Volker Schulz
language : en
Publisher: Springer
Release Date : 2018-09-05
Shape Optimization Homogenization And Optimal Control written by Volker Schulz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-05 with Mathematics categories.
The contributions in this volume give an insight into current research activities in Shape Optimization, Homogenization and Optimal Control performed in Africa, Germany and internationally. Seeds for collaboration can be found in the first four papers in the field of homogenization. Modelling and optimal control in partial differential equations is the topic of the next six papers, again mixed from Africa and Germany. Finally, new results in the field of shape optimization are discussed in the final international three papers. This workshop, held at the AIMS Center Senegal, March 13-16, 2017, has been supported by the Deutsche Forschungsgemeinschaft (DFG) and by the African Institute for Mathematical Sciences (AIMS) in Senegal, which is one of six centres of a pan-African network of centres of excellence for postgraduate education, research and outreach in mathematical sciences.
New Trends In Stochastic Analysis And Related Topics
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Author : Huaizhong Zhao
language : en
Publisher: World Scientific
Release Date : 2012
New Trends In Stochastic Analysis And Related Topics written by Huaizhong Zhao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
The volume is dedicated to Professor David Elworthy to celebrate his fundamental contribution and exceptional influence on stochastic analysis and related fields. Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. It has been discovered to have intrinsic connections with many other areas of mathematics such as partial differential equations, functional analysis, topology, differential geometry, dynamical systems, etc. Mathematicians developed many mathematical tools in stochastic analysis to understand and model random phenomena in physics, biology, finance, fluid, environment science, etc. This volume contains 12 comprehensive review/new articles written by world leading researchers (by invitation) and their collaborators. It covers stochastic analysis on manifolds, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic flows, quantum stochastic analysis and stochastic Hamilton Jacobi theory. Articles contain cutting edge research methodology, results and ideas in relevant fields. They are of interest to research mathematicians and postgraduate students in stochastic analysis, probability, partial differential equations, dynamical systems, mathematical physics, as well as to physicists, financial mathematicians, engineers, etc.
Multiple Time Scale Dynamics
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Author : Christian Kuehn
language : en
Publisher: Springer
Release Date : 2015-02-25
Multiple Time Scale Dynamics written by Christian Kuehn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-25 with Mathematics categories.
This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective.
Nonlinear Reaction Diffusion Processes For Nanocomposites
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Author : Jesús Ildefonso Díaz
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-06-21
Nonlinear Reaction Diffusion Processes For Nanocomposites written by Jesús Ildefonso Díaz and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-21 with Mathematics categories.
The behavior of materials at the nanoscale is a key aspect of modern nanoscience and nanotechnology. This book presents rigorous mathematical techniques showing that some very useful phenomenological properties which can be observed at the nanoscale in many nonlinear reaction-diffusion processes can be simulated and justified mathematically by means of homogenization processes when a certain critical scale is used in the corresponding framework.
Stochastic Geophysical Fluid Dynamics
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Author : Franco Flandoli
language : en
Publisher: Springer Nature
Release Date : 2025-08-19
Stochastic Geophysical Fluid Dynamics written by Franco Flandoli and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-19 with Mathematics categories.
This book is based on an Oberwolfach Seminar, and it intends to give an introduction and an overview to several directions of the recent research on stochastic geophysical fluid dynamics and to discuss different geophysical stochastic partial differential equations.
Modeling Conflict Dynamics With Spatio Temporal Data
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Author : Andrew Zammit-Mangion
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-30
Modeling Conflict Dynamics With Spatio Temporal Data written by Andrew Zammit-Mangion and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-30 with Science categories.
This authored monograph presents the use of dynamic spatiotemporal modeling tools for the identification of complex underlying processes in conflict, such as diffusion, relocation, heterogeneous escalation, and volatility. The authors use ideas from statistics, signal processing, and ecology, and provide a predictive framework which is able to assimilate data and give confidence estimates on the predictions. The book also demonstrates the methods on the WikiLeaks Afghan War Diary, the results showing that this approach allows deeper insights into conflict dynamics and allows a strikingly statistically accurate forward prediction of armed opposition group activity in 2010, based solely on data from preceding years. The target audience primarily comprises researchers and practitioners in the involved fields but the book may also be beneficial for graduate students.
Dynamic Modelling And Control Of National Economies 1983
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Author : T. Basar
language : en
Publisher: Elsevier
Release Date : 2014-05-17
Dynamic Modelling And Control Of National Economies 1983 written by T. Basar and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-17 with Business & Economics categories.
Dynamic Modelling and Control of National Economies 1983 contains the proceedings of the Fourth IFAC/IFORS/IIASA Conference and the 1983 SEDC Conference on Economic Dynamics and Control held at Washington D.C., USA on June17-19, 1983. Separating the 65 papers presented in the conference as chapters, this book covers a broad class of problems or notions arising both in economic theory, control applications to planning, and implementation issues. Some chapters discuss multi-level interactions of government and private sectors in economic development; inflation and economic policy in an open economy; foreign debt and exchange rate stability in a developing country; and expectations in numerical general equilibrium models. This book also explains a rational decision-making process for resource policymaking; inference of the structure of economic reasoning from natural language analysis; modeling and analysis of a national economy; and methodological issues in global modeling. Econometric analysis of the economic effects of population change, aspects of optimal estimation control strategies in econometrics, and optimal policies for interdependent economies are also discussed. This book will be useful to those engaged in economic and control theory research.
Nonlinear Dynamic In Engineering By Akbari Ganji S Method
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Author : Mohammadreza Akbari
language : en
Publisher: Xlibris Corporation
Release Date : 2015-11-10
Nonlinear Dynamic In Engineering By Akbari Ganji S Method written by Mohammadreza Akbari and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-10 with Mathematics categories.
In the present book, attempts have been made to conquer the difficulty of solving nonlinear differential equations, especially the highly nonlinear ones. A convenient approach (AGM = Akbari-Ganjis method) has been proposed to solve all the existing nonlinear ordinary differential equations up to now. Here, all the existing nonlinear ODEs have been divided into some categories, and for each of them, an innovative technique has been introduced to find their exact solution. Moreover, a suitable technique has been proposed to evaluate the precision of the acquired solution, which can be utilized when there is not any exact solution and the problem is not solvable by numerical methods, such as some kinds of inverse problems. One of the significant nobilities of this book refers to the ability of AGM in solving partial differential equations in different aspectsfor instance, fluid mechanics, heat transfer, and vibration, as discussed in the sixth chapter. Eventually, we hope this book can be considered as a suitable guide for all the people who deal with nonlinear differential equations.